There are many ways to do this. In Lightroom, you can use the "Split Toning" tool.

There are color selection boxes next to the word "Highlights" and "Shadows". Pick these and you can select a color cast (I picked a sand tone) and this will give the image a decidedly "brown" cast.
You can also desaturate (up in the basic adjustments). I found that desaturating to around -15 to -20 units created a pleasantly subdued look.

I find the look I used in this example to be a bit heavy-handed on the brown tone (my preference is to be a bit more subtle) but the example makes it easy to see what I'm doing here.
You can experiment with the hue selection and saturation level in split-toning (as well as overall desaturation) to achieve the look you want.
Another alternative is to try Lightroom profile presets. In the "Basic" adjustment pane you'll find the "Profile" selection (it typically defaults to "Adobe Standard"). There's an icon that has a grid of 4 rectangles ... click the icon and it will open the profile presets. You can try those to see if you find a look that fits your needs.